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Finding the Third Proportional to 233,540 and 332,814

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Solution

The third proportional to 233,540 and 332,814 is: 474,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,540 : 332,814 = 332,814 : x
  2. Step 2: Convert to fraction form
    233,540/332,814 = 332,814/x
  3. Step 3: Cross multiply
    233,540x = 332,814 × 332,814
  4. Step 4: Simplify right side
    233,540x = 110,765,158,596
  5. Step 5: Solve for x
    x = 110,765,158,596/233,540
  6. Step 6: Final answer
    x = 474,287.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.